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Construction and Optimization of a Cost Function in a Single-Server Multiphase Queueing System With Hypoexponential-k Customer Service Time

Stefan Mirchevski, Aleksandra Popovska-Mitrovikj and Verica Bakeva

Journal of Applied Mathematics, 2026, vol. 2026, 1-17

Abstract: In this paper, a new generalized cost function construction for a single-server multiphase queueing system with a Poisson input stream, hypoexponential-k customer service time, and FIFO discipline is presented. A proposed relationship between service parameters in k phases is based on a geometric progression with rate α,0

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:9214217

DOI: 10.1155/jama/9214217

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